Nonlinear vibrations and stability of shells and panels in advanced materials in air or coupled to fluids

随着材料科学与工程的不断发展，以及对改进设计、安全和节能要求的不断提高，需要建立和验证新的非线性理论来描述薄壁结构与周围流体之间的振动和相互作用。本研究考虑了具有和不具有流固耦合作用的薄壁结构的非线性振动和动力稳定性研究。传统的层压复合材料和功能梯度材料（fgm）的薄壳，板和弯曲面板（具有单或双曲率）可以在许多工程应用中找到，例如飞机，航天器，火箭，汽车，潜艇，船只和储罐。壳结构也是许多生物系统的一部分，如人体中的动脉、肺通道和静脉。该研究的长期目标是发展一项研究，通过实验、理论和数值研究的突破性创新来解决开放性问题，并用一种共同的方法来解决不同领域（即航空、原子能和生物力学）的问题。特别是，目的是改善现有的理论模型的非线性振动和壳的动力稳定性，(i)通过构建一个新的一致和高度精确的非线性壳理论，包括三阶剪切变形，旋转惯性和厚度变形，这是特别重要的软质生物材料制成的壳的动力学，（ii）通过包括材料非线性，即超弹性，和粘弹性，以研究急性主动脉夹层相关的人主动脉动力学。短期目标是研究先进材料（FGM、层合材料和夹层结构）壳板在大振幅振动中的非线性振动、流固耦合、动力稳定性和主动振动控制，并将其应用于航空航天和原子能工业。

The continuous development of material science and engineering along with the increasing demand for improved design, safety and energy efficiency requirements necessitates the establishment and verification of new nonlinear theories to describe the vibrations and interaction between thin-walled structures and the surrounding fluid. The proposed research considers the study of nonlinear vibrations and dynamic stability of thin-walled structures with and without fluid-structure interaction. Thin shells, plates and curved panels (with single or double curvature) of traditional, laminated composite and Functionally Graded Materials (FGMs) can be found in many engineering applications e.g. in aircraft, spacecraft, rockets, cars, submarines, boats and storage tanks. Shell structures are also part of many biological systems such as arteries, the pulmonary passage and veins found in the human body. The long term objective of the research is to develop a study addressing open problems with ground-breaking innovations in experimental, theoretical and numerical investigation, and to tackle problems of different areas (i.e. aeronautics, atomic energy and biomechanics) with a common approach. In particular, the aim is to improve existing theoretical models for the nonlinear vibrations and dynamic stability of shells, (i) by constructing a new consistent and highly accurate nonlinear shell theory including third-order shear deformation, rotary inertia and thickness deformation, which is particularly important for dynamics of shells made of soft biomaterials, and (ii) by including material nonlinearities, i.e. hyperelasticity, and viscoelasticity in order to study the dynamics of human aorta associated with acute aortic dissection. As short term objective, the research will focus on nonlinear vibrations, fluid-structure interaction, dynamic stability and active vibration control of shells and plates made of advanced materials (FGM, laminated materials and sandwich structures) in large-amplitude vibrations with applications in aerospace and atomic energy industries.